Acronym	naquitant
Name	penteractiquasitruncated penteractitriacontaditeron
Field of sections	©
Circumradius	sqrt[13-4 sqrt(2)]/2 = 1.354911
Vertex figure	©
Coordinates	((1+sqrt(2))/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment	(is itself locally convex – no other uniform polyteral members)
Face vector	640, 1600, 1280, 440, 52
Confer	general polytopal classes: Wythoffian polytera
External links

As abstract polytope naquitant is isomorphic to nottant, thereby interchanging the roles of octagrams and octagons, resp. replacing quith by tic, resp. quitit by tat, and thaquitoth by thatoth.

Incidence matrix according to Dynkin symbol

o3o3x3x4x4/3*c

. . . . .      | 640 |   3   1   1 |   3   3   3  1 |   1   3  3  3 |  1  1  3
---------------+-----+-------------+----------------+---------------+---------
. . x . .      |   2 | 960   *   * |   2   1   1  0 |   1   2  2  1 |  1  1  2
. . . x .      |   2 |   * 320   * |   0   3   0  1 |   0   3  0  3 |  1  0  3
. . . . x      |   2 |   *   * 320 |   0   0   3  1 |   0   0  3  3 |  0  1  3
---------------+-----+-------------+----------------+---------------+---------
. o3x . .      |   3 |   3   0   0 | 640   *   *  * |   1   1  1  0 |  1  1  1
. . x3x .      |   6 |   3   3   0 |   * 320   *  * |   0   2  0  1 |  1  0  2
. . x . x4/3*c |   8 |   4   0   4 |   *   * 240  * |   0   0  2  1 |  0  1  2
. . . x4x      |   8 |   0   4   4 |   *   *   * 80 |   0   0  0  3 |  0  0  3
---------------+-----+-------------+----------------+---------------+---------
o3o3x . .      ♦   4 |   6   0   0 |   4   0   0  0 | 160   *  *  * |  1  1  0
. o3x3x .      ♦  12 |  12   6   0 |   4   4   0  0 |   * 160  *  * |  1  0  1
. o3x . x4/3*c ♦  24 |  24   0  12 |   8   0   6  0 |   *   * 80  * |  0  1  1
. . x3x4x4/3*c ♦  48 |  24  24  24 |   0   8   6  6 |   *   *  * 40 |  0  0  2
---------------+-----+-------------+----------------+---------------+---------
o3o3x3x .      ♦  20 |  30  10   0 |  20  10   0  0 |   5   5  0  0 | 32  *  *
o3o3x . x4/3*c ♦  64 |  96   0  32 |  64   0  24  0 |  16   0  8  0 |  * 10  *
. o3x3x4x4/3*c ♦ 192 | 192  96  96 |  64  64  48 24 |   0  16  8  8 |  *  * 10